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Finding the Third Proportional to 401,882,241.38 and 865,343,363.06

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Solution

The third proportional to 401,882,241.38 and 865,343,363.06 is: 1,863,279,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,882,241.38 : 865,343,363.06 = 865,343,363.06 : x
  2. Step 2: Convert to fraction form
    401,882,241.38/865,343,363.06 = 865,343,363.06/x
  3. Step 3: Cross multiply
    401,882,241.38x = 865,343,363.06 × 865,343,363.06
  4. Step 4: Simplify right side
    401,882,241.38x = 748,819,135,996,317,696
  5. Step 5: Solve for x
    x = 748,819,135,996,317,696/401,882,241.38
  6. Step 6: Final answer
    x = 1,863,279,983.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.